• Title/Summary/Keyword: 3D dimension

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Dimensional Characteristics of Impeller Output Using 3D Printers (3D 프린터를 이용한 임펠러 출력물의 치수 특성)

  • Kong, Jeong-Ri;Kim, Hae-Ji
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.21 no.9
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    • pp.56-62
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    • 2022
  • This study analyzed the output precision of 3D printing methods. The inner impeller of the centrifugal compressor was printed in as a sheet with 100% packing density using two methods: field deposition modelling and stereolithography. Dimensional differences between the initial CAD and printed models were evaluated using a 3D scanner. To investigate the dimensional characteristics of the 3D printed impeller, 3D dimension analysis and point dimension analysis were performed. The point dimension analysis was divided into 3D and 2D for comparative analysis.

VC-DIMENSION AND DISTANCE CHAINS IN 𝔽dq

  • ;Ruben Ascoli;Livia Betti;Justin Cheigh;Alex Iosevich;Ryan Jeong;Xuyan Liu;Brian McDonald;Wyatt Milgrim;Steven J. Miller;Francisco Romero Acosta;Santiago Velazquez Iannuzzelli
    • Korean Journal of Mathematics
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    • v.32 no.1
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    • pp.43-57
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    • 2024
  • Given a domain X and a collection H of functions h : X → {0, 1}, the Vapnik-Chervonenkis (VC) dimension of H measures its complexity in an appropriate sense. In particular, the fundamental theorem of statistical learning says that a hypothesis class with finite VC-dimension is PAC learnable. Recent work by Fitzpatrick, Wyman, the fourth and seventh named authors studied the VC-dimension of a natural family of functions ℋ'2t(E) : 𝔽2q → {0, 1}, corresponding to indicator functions of circles centered at points in a subset E ⊆ 𝔽2q. They showed that when |E| is large enough, the VC-dimension of ℋ'2t(E) is the same as in the case that E = 𝔽2q. We study a related hypothesis class, ℋdt(E), corresponding to intersections of spheres in 𝔽dq, and ask how large E ⊆ 𝔽dq needs to be to ensure the maximum possible VC-dimension. We resolve this problem in all dimensions, proving that whenever |E| ≥ Cdqd-1/(d-1) for d ≥ 3, the VC-dimension of ℋdt(E) is as large as possible. We get a slightly stronger result if d = 3: this result holds as long as |E| ≥ C3q7/3. Furthermore, when d = 2 the result holds when |E| ≥ C2q7/4.

Extension of Self-organization for Swarm Systems to Three Dimensions (스웜시스템을 위한 자기조직화의 3D 확장)

  • Kim, Jae-Hyun;Kim, Dong-Hun
    • Journal of the Korean Institute of Intelligent Systems
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    • v.20 no.4
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    • pp.489-496
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    • 2010
  • In this paper, a self-organization framework for swarm systems in three dimensions is presented. The framework uses artificial potential functions(APFs) to direct the robots toward the goal as well as to keep them in a swarm system. This research extends conventional APFs used for self-organizations in two dimension environment to three dimensions. In three dimension environment, the ground potential for the boundary surfaces that commonly appear in three dimension environments is proposed. Accordingly, the comparison between the paths without and with the ground potentials shows the necessity and effect of ground potentials. Extensive simulations are given to show the effectiveness of the extended potentials and various properties in three dimension environments.

3D Data Dimension Reduction for Efficient Feature Extraction in Posture Recognition (포즈 인식에서 효율적 특징 추출을 위한 3차원 데이터의 차원 축소)

  • Kyoung, Dong-Wuk;Lee, Yun-Li;Jung, Kee-Chul
    • The KIPS Transactions:PartB
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    • v.15B no.5
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    • pp.435-448
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    • 2008
  • 3D posture recognition is a solution to overcome the limitation of 2D posture recognition. There are many researches carried out for 3D posture recognition using 3D data. The 3D data consist of massive surface points which are rich of information. However, it is difficult to extract the important features for posture recognition purpose. Meanwhile, it also consumes lots of processing time. In this paper, we introduced a dimension reduction method that transform 3D surface points of an object to 2D data representation in order to overcome the issues of feature extraction and time complexity of 3D posture recognition. For a better feature extraction and matching process, a cylindrical boundary is introduced in meshless parameterization, its offer a fast processing speed of dimension reduction process and the output result is applicable for recognition purpose. The proposed approach is applied to hand and human posture recognition in order to verify the efficiency of the feature extraction.

Analysis Third-dimension Turbo Code for DVB-RCS Next Generation (DVB-RCS Next Generation을 위한 Third-dimension Turbo Code 분석)

  • Park, Tae-Doo;Kim, Min-Hyuk;Jung, Ji-Won
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.15 no.2
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    • pp.279-285
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    • 2011
  • The next generation wireless communication systems are required high BER performance better than present performance. Double binary Turbo code have error floor at high SNR, so it cannot be used in next generation wireless communication system. Therefore, many methods are proposed for overcome error floor at DVB-RCS NG(next generation). In this paper, we analysis structure of third-dimension Turbo code(3D-turbo code). 3D-Turbo code overcomes error flow by additive post-encoder in conventional DVB-RCS Turbo code. Performance of 3D-Turbo code is changed by post-encoder form, interleaving method, value of ${\lambda}$. So we are simulated by those parameter and proposed optimal form. By a result, performance of 3D-Turbo is better than conventional DVB-RCS Turbo code and it overcome error floor of conventional DVB-RCS Turbo code.

Measurement of Rock Slope Joint using 3D Image Processing (3차원 영상처리를 이용한 암반 사면의 절리 측정에 관한 연구)

  • Lee, Seung-Ho;Hwang, Jeong-Cheol;Sim, Seok-Rae;Jeong, Tae-Young
    • Proceedings of the Korean Geotechical Society Conference
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    • 2005.03a
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    • pp.854-861
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    • 2005
  • Studied accuracy and practical use possibility of joint measurement that using 3D laser scanner to rock slope. Measured joint of Rock slope and comparison applied 3 dimension laser scanner and clinometer. 3D laser scanning system preserves on computer calculating to 3 dimension coordinate scaning laser to object. and according to laser measurement method of interior, produce correct vector value from charge-coupled device(CCD) or laser reciver and telegram register and time measuring equipment. Create of object x, y, z point coordinates to 3 dimension space of computer. Such 3 dimension point datum (Point Clouds) forms relocate position informations that exist to practical space to computer space. Practical numerical values related between each other. Compared joint distribution and direction that measured by laser scanner and clinometer. By the result, Distribution of joint projected almost equally. Could get more joint datas by measurement of 3 dimension scanner than measured by clinometer. Therefore, There is effect that objectification of rock slope investigation data, shortening of investigation periods, investigation reduction of cost. could know that it is very effective method in joint measuring.

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A Study on the Design of Fatigue Strength using Fractal Character of Surface Micro-crack (표면미소균열의 프랙탈 특성을 이용한 피로강도설계에 관한 연구)

  • Cho, Seok-Swoo;Joo, Won-Sik
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.12
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    • pp.143-151
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    • 1999
  • The shape of surface micro-crack is very irregular due to nonhomogeneous microstructure but is very important in respect to qualitative estimation of fatigue life. Fractal geomety can quantify the shape of surface mciro-crack. Fractal dimension is measured for surface micro-cracks with coast line and box counting method and estimates cycle ration in Al 2024-T3. The average fractal dimension $D_{favg}$ of surface micro-cracks has 3-parameter weibull distribution and location parameter is nearly constant but shape parameter decreases as cycle ration increases. The fractal dimension by coast line method is measured for individual surface micro-crack but the fractal dimension by box countin method is measured for all the surface micro-cracks under sampling area. Therefore, This paper shows fractal dimension $D_{fb}$ can predict cycle ratio $N/N_f$ more convenient than fractal dimension $D_{favg}$.

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The Effect of Spatial Dimension Shifts in Rotated Target Position Search (차원 변환이 회전하는 목표 자극의 위치 탐색에 미치는 영향)

  • Park, Woon-Ju;Jung, Il-Yung;Park, Jeong-Ho;Bae, Sang-Won;Chong, Sang-Chul
    • Korean Journal of Cognitive Science
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    • v.22 no.2
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    • pp.103-121
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    • 2011
  • This study investigated how spatial dimension information and dimensional consistency between learning and testing phase would influence the target search performance. The participants learned spatial layouts of Lego blocks shown in either two- (2D) or three-dimension (3D) and were tested with the rotated stimuli ($0^{\circ}$, $90^{\circ}$, $180^{\circ}$, or $270^{\circ}$ from the initial view) in consistent or inconsistent dimension. Significantly better performance was observed when initial learning display appeared in 2D than in 3D. Particularly, the participants showed difficulties in flexible usage of spatial information presented in 3D especially if the dimensional information in the testing phase also was 3D and required mental rotation. The present study indicates that spatial map presented in 2D may be more useful than 3D in driving situations in which acquired spatial information from navigating device, such as GPS, and location of driver continuously changes.

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Automatic Generation of Analysis Model Using Multi-resolution Modeling Algorithm (다중해상도 알고리즘을 이용한 자동 해석모델 생성)

  • Kim M.C.;Lee K.W.;Kim S.C.
    • Korean Journal of Computational Design and Engineering
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    • v.11 no.3
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    • pp.172-182
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    • 2006
  • This paper presents a method to convert 3D CAD model to an appropriate analysis model using wrap-around, smooth-out and thinning operators that have been originally developed to realize the multi-resolution modeling. Wrap-around and smooth-out operators are used to simplify 3D model, and thinning operator is to reduce the dimension of a target object with simultaneously decomposing the simplified 3D model to 1D or 2D shapes. By using the simplification and dimension-reduction operations in an appropriate way, the user can generate an analysis model that matches specific applications. The advantage of this method is that the user can create optimized analysis models of various simplification levels by selecting appropriate number of detailed features and removing them.

A study on the Development of 3D web-map using VRML and java (Web-Map 개발을 위한 VRML과 Java의 적용)

  • 양인태;김동문;박형근
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.21 no.1
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    • pp.81-87
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    • 2003
  • It is very difficult assignment that grasp three-dimensional real life in Web base network environment. But, the recent simulation tools embody third dimension elements within 2 dimensions screen that is limited through third dimension implementation technology. Many GIS tools are offering excellent functions for third dimension data creation. But, research about design of third dimension GIS that use virtual reality technique in Web environment is status that is unprepared. So, in this research embodied third dimension topography map using virtual reality modelling language to produce active third dimension VR map that can supply visual information for direction, visual point that want in World Wide Web without support of expensive Map exclusive use program. And these 3D Web-Map is thought that possibility is enough as next generation map medium.